一种快速有效的改进M-Rife算法

A Fast and Effective M-Rife Algorithm

在雷达信号的瞬时频率估计算法中,Rife算法举足轻重。Rife算法(双谱线法)在信号最大的两根幅度谱之间进行插值运算,从而获取信号的瞬时频率。此算法的缺点是频率的估计精度与频率的分布密切相关,因而邓振淼提出了修正的Rife算法算法(M-Rife),通过对Rife算法估计得到的频率进行二次Rife算法,以改善Rife算法频率分布不均匀的缺点,大大提高了频率估计的精度,运算量却增加了1倍。在M-Rife算法的基础上,提出了一种减少运算量的改进M-Rife算法,通过将M-Rife算法中的第二次Rife算法中的N点FFT简化为3点FFT运算,大大简化了运算量,且通过实际的运算量分析以及MATLAB仿真,验证了该算法实现的可行性,得出新提出的改进后的M-Rife算法(New-M-Rife算法)能够在较低的运算量下,达到相对准确的测量精度。

Rife Algorithm plays an important role in the instantaneous frequency estimation algorithm of radar signals.Rife algorithm（ dual spectral method） is that,through interpolating operations between the two most amplitude spectra of the signal,the instantaneous frequency of the signal is obtained. But the shortcoming of this algorithm is the estimation accuracy of the frequency is closely related to the frequency distribution. So Deng Zhenmiao proposed a modified Rife algorithm,that is,M-Rife Algorithm. The M-Rife Algorithm improves the frequency distribution is not uniform characteristics of Rife Algorithm through performing the second Rife algorithm on the estimated frequency of the Rife Algorithm. The M-Rife Algorithm greatly improves the accuracy of the frequency estimation,but the amount of computation is also doubled. The paper proposes an improved M-Rife algorithm to reduce the computational complexity based on the M-Rife algorithm. The new algorithm greatly reducing the amount of computing by simplifying the N-point FFT in the second Rife algorithm in the M-Rife algorithm to a 3-point FFT operation,in the meantime,the feasibility of the algorithm is verified by the actual calculation and MATLAB simulation. It is thus verified that the proposed improved M-Rife algorithm（ New-M-Rife algorithm） can achieve relatively accurate measurement accuracy in the case of lower computational complexity.